Search Results - "Rowlands, Rowan"

Reconstructing d-Manifold Subcomplexes of Cubes from Their (⌊d/2⌋+1)-Skeletons by Rowlands, Rowan

“…In 1984, Dancis proved that any d -dimensional simplicial manifold is determined by its ( ⌊ d / 2 ⌋ + 1 ) -skeleton. This paper adapts his proof to the setting…”
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Syzygies of the apolar ideals of the determinant and permanent by Alper, Jarod, Rowlands, Rowan

“…We investigate the space of syzygies of the apolar ideals det n ⊥ and perm n ⊥ of the determinant det n and permanent perm n polynomials. Shafiei had proved…”
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Topology of Complements of Skeletons by Rowlands, Rowan

“…Given a polytopal complex $X$, we examine the topological complement of its $k$-skeleton. We construct a long exact sequence relating the homologies of the…”
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Relating CAT(0) cubical complexes and flag simplicial complexes by Rowlands, Rowan

“…Given a finite CAT(0) cubical complex, we define a flag simplicial complex associated to it, called the crossing complex. We show that the crossing complex…”
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Combinatorics of CAT(0) Cubical Complexes, Crossing Complexes and Co-Skeletons by Rowlands, Rowan

“…This thesis consists of three papers about cubical complexes: Chapter 1 is [Row22a], Chapter 2 is [Row23], and Chapter 3 is [Row22b]. Chapter 1 extends a…”
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Total Cut Complexes of Graphs by Bayer, Margaret, Denker, Mark, Milutinović, Marija Jelić, Rowlands, Rowan, Sundaram, Sheila, Xue, Lei

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A Characterization of Two-Dimensional Buchsbaum Matching Complexes by Goeckner, Bennet, Herr, Fran, Jones, Legrand, Rowlands, Rowan

“…The matching complex $M(G)$ of a graph G is the set of all matchings in G. A Buchsbaum simplicial complex is a generalization of both a homology manifold and a…”
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Topology of complements of skeletons by Rowlands, Rowan

“…Given a polytopal complex $X$, we examine the topological complement of its $k$-skeleton. We construct a long exact sequence relating the homologies of the…”
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Relating CAT(0) cubical complexes and flag simplicial complexes by Rowlands, Rowan

“…Given a finite CAT(0) cubical complex, we define a flag simplicial complex associated to it, called the crossing complex. We show that the crossing complex…”
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Reconstructing $d$-manifold subcomplexes of cubes from their $(\lfloor d/2 \rfloor + 1)$-skeletons by Rowlands, Rowan

“…In 1984, Dancis proved that any $d$-dimensional simplicial manifold is determined by its $(\lfloor d/2 \rfloor + 1)$-skeleton. This paper adapts his proof to…”
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Syzygies of the apolar ideals of the determinant and permanent by Alper, Jarod, Rowlands, Rowan

“…We investigate the space of syzygies of the apolar ideals $\det_n^\perp$ and ${\rm perm}_n^\perp$ of the determinant $\det_n$ and permanent ${\rm perm}_n$…”
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Topology of Cut Complexes of Graphs by Bayer, Margaret, Denker, Mark, Milutinović, Marija Jelić, Rowlands, Rowan, Sundaram, Sheila, Xue, Lei

“…SIAM J. on Discrete Mathematics,Vol. 38 (2), 1630--1675 (2024) We define the $k$-cut complex of a graph $G$ with vertex set $V(G)$ to be the simplicial complex…”
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A characterization of two-dimensional Buchsbaum matching complexes by Goeckner, Bennet, Herr, Fran, JonesII, Legrand, Rowlands, Rowan

“…The matching complex $M(G)$ of a graph $G$ is the set of all matchings in $G$. A Buchsbaum simplicial complex is a generalization of both a homology manifold…”
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Total Cut Complexes of Graphs by Bayer, Margaret, Denker, Mark, Milutinović, Marija Jelić, Rowlands, Rowan, Sundaram, Sheila, Xue, Lei

“…Inspired by work of Fr\"oberg (1990), and Eagon and Reiner (1998), we define the \emph{total $k$-cut complex} of a graph $G$ to be the simplicial complex whose…”
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